Abstract
An introduction is given into the Monte Carlo technique of phase diagram calculations. Beside the standard approaches used to determine first and second order phase transitions, a most promising development is discussed, namely the analysis of the probability distributions by histograms. Applications to real alloys are considered, such as the decomposition in Cu-Co and Cu-Ni, the short-range order and critical scattering in Cu-Au type alloys, the phenomenon of surface induced order in Cu-Au models having a free (100) surface, and the interplay of magnetism and chemical ordering in Fe-Ál.
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References
K. Binder,J. Comput. Phys. 59, 1 (1985).
K. Binder in Festkörperprobleme (Advances in Solid State Physics), edited by P. Grosse, Vieweg, Braunschweig, 1986. Vol. 26, p.133.
K. Binder in International Meeting on Advances on Phase Transitions and Disorder Phenomena in Amalfi June 1986, edited by G. Busiello, L. De Cesare, F. Manchini, and M. Marinaro, World Scientific, Singapore, 1987. p. 1.
The Monte Carlo Method in Statistical Physics,2nd ed, edited by K. Binder, Springer-Verlag, Berlin, 1986).
Applications of the Monte Carlo Method Method in Statistical Physics,2nd ed, edited by K. Binder, Springer-Verlag,Berlin,1987.
The Monte Carlo Method in Condensed Matter Physics,edited by K. Binder, Springer-Verlag, Berlin, 1991.
V. Gerold and J. Kern, Acta Metall. 35, 393 (1987).
W. Schweika and H. G. Haubold, Phys. Rev. B37, (1988) 9240
W. Schweika, in Alloy Phase Stability,edited by G. M. Stocks and A. Gonis, Kluwer Acad. Publ., Dordrecht, 1989. Proc. NATO ASI, Maleme, 1987.
N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller and E. Teller, J. Chem. Phys. 21 108 (1953).
R. J. Glauber, J. Math. Phys. 4, 294 (1963).
K. Kawasaki in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green, Academic Press, New York, 1972. Vol. 2, p.443.
M. Creutz, Phys. Rev. D36, 515 (1987).
S. L. Adler, Phys. Rev. D38, 1349 (1988).
R. H. Swendsen and J.-S. Wang, Phys. Rev. Lett. 58, 86 (1987).
S. Wansleben, Comp. Phys. Comm 43, 315 (1987).
N. Ito and Y. Kanada, Supercomputer 25, 3, 31 (1988).
H. O. Heuer, Europhys. Lett. 12, 551 (1990); to appear in Comput. Phys. Comm.
S. Kirkpatrick and E. Stoll, J. Comp. Phys. 40, 517 (1981).
F. James, Repts. Prog. Phys. 43, 1145 (1980).
F. Livet and M. Bessiere, J. Phys. (Paris) 48, 1703 (1987).
A. M. Ferrenberg, D. P. Landau, and K. Binder J. Stat. Phys. 63 867 (1991).
G. Tammann and W. Oelsen, Z. Anorg. Chem. 186 260 (1930).
M. E. Fisher, Proceedings of the International Summer School Enrico Fermi,Course 51, Academic Press, New York, 1971.
M. E. Fisher, in Critical Phenomena, edited by M. S. Green, Academic Press, New York, 1971.
M. N. Barber, in Phase Transitions and Critical Phenomena, eds. C. Domb and J. L. Lebowitz, Academic Press, New York, 1983, Vol. 8, p. 145.
V. Privman and M. E. Fisher, J. Stat. Phys. 33 385 (1983); Phys. Rev. B32 447 (1985).
K. Binder, Z. Phys. B43 119 (1981).
K. Binder, D. P. Landau, Phys. Rev. B30 1477 (1984).
K. Binder, Rep. Prog. Phys. 50, 783 (1987).
A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 61, (1988).
R. H. Swendsen, J.-S. Wang and A. M. Ferrenberg, The Monte Carlo Method in Condensed Matter Physics,edited by K. Binder, Springer-Verlag, Berlin, 1991.
A. M. Ferrenberg and D. P. Landau, Phys. Rev. B 44, 5081 (1991).
A. M. Ferrenberg, D. P. Landau, and P. Peczak, J. Appl. Phys. 69 6153 (1991).
J. Lee and J. M. Kosterlitz, Phys. Rev. Lett. 65 137 (1990).
J. L. Lebowitz, M. K. Phani, and D. F. Styer, J. Stat. Phys. 38 413 (1985).
J. F. Fernández and J. Oitmaa, J. Phys. C8, 1549 (1988).
J. Oitmaa and J. F. Fernández, Phys. Rev. B39 11920 (1989).
M. E. Fisher and R. J. Burford, Phys. Rev. 156, 583 (1967).
A. Arrot, Phys. Rev. B31 2951 (1985).
M. Fähnle and J. Souletie, J. Phys. C17, L469 (1984); Phys. Rev. B32 3328 (1985); Phys. Stat. Sol. 138, 181 (1986).
C. Lamers and W. Schweika, ICNS’91 Oxford, to be published in Physica B.
F. Ducastelle, ICNS’91 Oxford, to be published in Physica B.
E. Domany, Y. Shnidman and D. Mukamel, J. Phys. C: Solid State Phys. 15 L495 (1982).
R. Brout, Phase Transitions, Benjamin, New York, 1965.
M. A. Krivoglaz and A. A. Smirnov, The Theory of Order-Disorder in Alloys, MacDonald, London, 1964; M. A. Krivoglaz, Theory of X-Ray and Thermal Neutron Scattering by Real Crystals, Plenum Press, New York, 1969.
S. C. Moss and P. C. Clapp, Phys. Rev. 171 764 (1968).
R. Lipowsky, Phys. Rev. Lett. 49 1575 (1982).
R. Lipowsky and W. Speth, Phys. Rev. B28 3983 (1983).
R. Lipowsky, J. Appl. Phys. 55 2485 (1984).
R. Lipowsky, Ferroelectrics 73 69 (1987).
K. Binder in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz, Academic Press, New York, 1983. Vol. 8, p. 1.
J. M. Sanchez and J. L. Morán-López, Phys. Rev. B32 3534 (1985).
J.M. Sanchez and J. L. Morán-López, Surf. Sci. Lett. 157 297 (1985).
H. W. Diehl, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz, Academic Press, New York, 1986. Vol. 10, p. 75.
K. Binder and D. P. Landau, Physica (Amsterdam) 163A 17 (1990).
S. Dietrich, Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz, Academic Press, New York, 1986. Vol. 12, p. 1.
D. M. Kroll and G. Gompper, Phys. Rev. B36 7078 (1987).
G. Gompper and D. M. Kroll, Phys. Rev. B38 459 (1988).
D. M. Kroll and G. Gompper, Phys. Rev. B39 433 (1989).
W. Helbing, B. Dünweg, K. Binder, and D. P. Landau, Z. Physik B, (1990).
W. Schweika, K. Binder, and D. P. Landau, Phys. Rev. Lett. 65 3321 (1990).
Y. Teraoka, Surface Sci. 232 193 (1990).
D. A. Contreras-Solorio, F. Mejía-Lira, J. M. Sanchez, and J. L. Morán-López, Phys. Rev. B38 4955 (1988).
D. A. Contreras-Solorio, F. Mejía-Lira, J. M. Sanchez, and J. L. Morán-López, Phys. Rev. B38 11481 (1988).
B. Dünweg and K. Binder, Phys. Rev. B36 6935 (1987).
V. Pierron-Bohnes, M. C. Cadeville, A. Finel, O. Schäpf, J. Phys. Condens. Matter. 1 247 (1991).
W. Schweika, M. Monkenbush, and A. Ackerman, Physica B156& 157 78 (1989).
W. Schweika, Mat. Res. Soc. Symp. Proc. 166 249 (1990).
F. Schmid and K. Binder, to be published.
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Schweika, W. (1992). Monte Carlo Simulation of Order-Disorder Phenomena in Binary Alloys. In: Morán-López, J.L., Mejía-Lira, F., Sanchez, J.M. (eds) Structural and Phase Stability of Alloys. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3382-5_4
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DOI: https://doi.org/10.1007/978-1-4615-3382-5_4
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